Answer:
y = -2x + 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables
m = -2
b = 8
Step 2: Find
Substitute in variables [Slope-Intercept Form]: y = -2x + 8What is the perimeter
of a regular octagon
if each side is 7 inches.
Pls help!
Answer:
56
Step-by-step explanation:
since an octagon has 8 sides, you do 7x8 and you get 56.
Answer: It’s 56 if you multiply it by the number of sides
Step-by-step explanation:
4x=3y+23
4y+3x=-19
solve by substitution. No files pls
Answer:
x = ⁷/₅
y = ⁻²⁹/₅
Step-by-step explanation:
4x = 3y + 23 (×3)
12x = 9y + 69
4y + 3x = -19
3x = -4y - 19 (×4)
12x = -16y - 76
∴ 9y + 69 = -16y - 76
25y = -145
y = ⁻²⁹/₅
12x = 9(⁻²⁹/₅) + 69
12x = 69 - ²⁶¹/₅
12x = ⁸⁴/₅
x = ⁷/₅
Solve the expression for a=12 , b=6 and c=3
Answer:
50
Step-by-step explanation:
Substitute.
Answer:
320
Step-by-step explanation:
(6 x 3)² - 2(12) ÷ 6
324 - 24 ÷ 6
324 - 4
= 320
if a 30 foot wire is attached to the top of a 12 foot pole and stretched to the ground, find the angle the wire makes with the ground
Answer:
52 degrees
Step-by-step explanation:
Answer:
52 degrees sorry if that's wrong
squareroot of
[tex]12 \frac14[/tex]
Answer:
7/2
Step-by-step explanation:
12 1/4 is equivalent to the improper fraction 49/4.
The square root of 49/4 is 7/2.
The squareroot of [tex]12 \frac14[/tex] is [tex]3 \frac{1}{2} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{12 \frac{1}{4} } \\ \\ = \sqrt{ \frac{49}{4} } \\ \\ = \sqrt{ \frac{7 \times 7}{2 \times 2} } \\ \\ = \sqrt{ \frac{( {7})^{2} }{( {2})^{2} } } \\ \\= \frac{7}{2} \\ \\ = 3 \frac{1}{2} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Refer to pictures above real help please
Answer:
38.7°
Step-by-step explanation:
∆ = Tan-1(opposite/ Adjacent)
=Tan-1(8/10)
= 38.66°
= 38.7° to n nearest tenth
Your score on a game show is -150. You answer the final question correctly, so you get 400 points. what is your final score?
Answer:
250
Step-by-step explanation:
-150 + 400 = 250
Final Score= -150 + 400
= 250 --- (Answer)
What is the LCM of 7, 14, 28, 42
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Prim factorize
7 = 7
14 = 7 * 2
28 = 7 * 2 * 2
42 = 7 * 2 * 3
LCM = 7 * 2* 2 * 3 = 84
Given that y = 9 cm and 0 = 23°, work out x rounded to 1 DP.
у
х
00
PLEASE HELP
Answer:
x ≈ 3.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{x}{9}[/tex] ( multiply both sides by 9 )
9 × sin23° = x , then
x ≈ 3.5 cm ( to 1 dec. place )
Which is a solution for the following system of inequalities?pls help :3
(0,5)
(0,-2)
(1,-1)
(0,0)
helppppppppp pleaseeeeeee
Answer:
isn't it 5?
by counting the lines from C to B
from C to B the length is 5 while the length of D to C is 6
If line ab is tangent to circle c , find AC?
Can anyone help?
Answer:
Step-by-step explanation:
If AB is tangent to the circle, the AB makes a right angle with the radius BC. That means that triangle ABC is a right triangle and we need Pythagorean's Theorem to find the missing side which is the hypotenuse.
[tex]AC^2=AB^2+BC^2[/tex] and filling in:
[tex]AC^2=14^2+9^2[/tex] and
[tex]AC^2=196+81[/tex] and
[tex]AC^2=277[/tex] so
[tex]AC=\sqrt{277}[/tex] ≈ 16.64
AC = 16.64
The Tangent theorem
"It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency."
From given diagram,
tangent AB = 14 units
radius BC = 9 units
Using tangent theorem,
AB is perpendicular to BC.
This means ΔABC is right triangle with ∠B = 90°
Using Pythagoras theorem,
[tex]AC^2=AB^2+BC^2[/tex]
⇒ [tex]AC^2=14^{2}+9^{2}[/tex]
⇒ [tex]AC^2=196+81[/tex]
⇒ [tex]AC^2=277[/tex]
⇒ [tex]AC=\sqrt{277}[/tex]
⇒ [tex]AC=16.64[/tex]
Therefore, AC = 16.64
Learn more about tangent to the circle here:
https://brainly.com/question/15279341
#SPJ2
A box contains 3 red marbles, 5 white marbles and 7 blue marbles, 2 balls are drawn at random. Calculate probability? a, There is 1 red ball out of the 2 balls drawn b, There is at least 1 red ball out of 2 balls drawn
Answer:
a) 0.3429 = 34.29% probability there is 1 red ball out of the 2 balls drawn.
b) 0.3715 = 37.15% probability that there is at least 1 red ball out of 2 balls drawn
Step-by-step explanation:
The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
3 + 5 + 7 = 15 balls, which means that [tex]N = 15[/tex]
3 red, which means that [tex]k = 3[/tex]
2 drawn, which means that [tex]n = 2[/tex]
a) Probability there is 1 red ball out of the 2 balls drawn
This is [tex]P(X = 1)[/tex]
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,15,2,3) = \frac{C_{3,1}*C_{12,1}}{C_{15,2}} = 0.3429[/tex]
0.3429 = 34.29% probability there is 1 red ball out of the 2 balls drawn.
b) Probability there is at least 1 red ball out of 2 balls drawn
This is:
[tex]P(X \geq 1) = P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,15,2,3) = \frac{C_{3,1}*C_{12,1}}{C_{15,2}} = 0.3429[/tex]
[tex]P(X = 2) = h(2,15,2,3) = \frac{C_{3,2}*C_{12,0}}{C_{15,2}} = 0.0286[/tex]
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) = 0.3429 + 0.0286 = 0.3715[/tex]
0.3715 = 37.15% probability that there is at least 1 red ball out of 2 balls drawn
A vehicle was purchased for $64,000 when exponential depreciation is appeals at the rate of 18% per year, how much will the vehicle be worth 54 month after the purchased date?
Answer:
Step-by-step explanation:
The standard form of an exponential function is
[tex]y=a(b)^x[/tex] where y is the value of the car after x years have gone by, a is the initial value of the car and b is the rate of depreciation. For us, that looks like this:
[tex]y=64000(.18)^{4.5[/tex] where 64000 is the initial value of the car, .18 is the depreciation rate, and 4.5 is 54 months in years. Doing the math on that gives us that the value of the car will be $51,840 4.5 years after it's purchased new.
HELP PLEASE
Find 33/4 x 21/3. All answers must be in lowest terms
[tex] \frac{231}{4} [/tex] ✅
Step-by-step explanation:
[tex] \frac{33}{4} \times \frac{21}{3} \\ = \frac{11 \times 21}{4} \\ = \frac{231}{4} [/tex]
Note:-
A fraction is said to be written in its lowest form if its numerator and denominator are prime, that is, they have no common factors other than 1.[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Hurry fasttt fastttt
Charles is cooking enough lentils for lentil barley soup and lentil salad. The soup recipe calls for 3/4 cup of dried lentils. The salad recipe calls for 1 1/ 2 cups of dried lentils. Jon has a 1/8 -cup scoop. How many scoops of dried lentils will Charles need to have enough for the soup and the salad?
Answer:
18 scoops is the correct answer
Step-by-step explanation:
3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)
and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)
thus total lentils required is 6/8 + 12/8 = 18/8 cups.
with scoop size 1/8 cup you'll need 18 scoops .
Answer:
18 1/8 scoops
Step-by-step explanation:
Soup:
6 scoops from a 1/8 cup can make a 3/4 cup
Salad:
4 scoops from a 1/8 cup can make a 1/2 cup
If 1/8 means one portion is divided into eight portions, then 8 scoops from a 1/8 cup can make 1 cup.
When the square of a number is increased by 24, the result is eleven times the original. Number find the number
Answer:
the number can be either 8 or 3.
Step-by-step explanation:
Let's define N as the "number"
We know that when the square of this number is increased by 24:
N^2 + 24
we got eleven times the original number, then:
N^2 + 24 = 11*N
We just need to solve this for N
To do it, we first move all the terms to one side of the equation:
N^2 - 11*N + 24 = 0
Now we can use the Bhaskara's formula for the zeros of a quadratic equation:
for a general quadratic equation:
a*x^2 + b*x + c = 0
the roots or zeros are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
We get then:
[tex]N = \frac{-(-11) \pm \sqrt{(-11)^2 - 4*1*24} }{2*1} = \frac{11 \pm 5}{2}[/tex]
So we have two solutions:
N = (11 + 5)/2 = 16/2 = 8
N = (11 - 5)/2 = 6/2 = 3
So the number can be either 8 or 3.
Graph the image of rectangle CDEF after a reflection over the line y=x
To find a he correct points, I counted the units each point was from the line of reflection. The. I took that same number of points and did it to find the new point. D’ is at (5,2) E’ is at (10,2) F’ is at (10,-5) And C’ is at (5,-5)
The book wants me to use the Pythagorean Theorem (a^2+b^2=c^2) to get the correct answer. I never learned how to use the theorem when finding distance and have only used Distance Formula. I tried using the Distance Formula to get the correct answer and got a negative outcome. Can someone please explain how Pythagorean Theorem works or maybe tell me how to fix the Distance Formula so it doesn't give me a negative outcome.
Answer:
C) [tex]\sqrt{106}[/tex] units
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths of a right triangle and [tex]c[/tex] is the hypotenuse, the longest side of the right triangle.
The distance formula is similar to that of the Pythagorean Theorem which is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points that you wish to find the distance between them in an (x,y) coordinate plane.
Here, we are given that [tex](x_1,y_1)[/tex] is [tex]P(-4,-6)[/tex] and [tex](x_2,y_2)[/tex] is [tex]Q(1,3)[/tex]. So, we can use the distance formula as described previously to find the positive distance between the two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(1-(-4))^2+(3-(-6))^2}[/tex]
[tex]d=\sqrt{(1+4)^2+(3+6)^2}[/tex]
[tex]d=\sqrt{(5)^2+(9)^2}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d \approx 10.295630141[/tex]
Since all of the given answer choices are in radical form, then C is the correct answer. The distance between the two points is [tex]\sqrt{106}[/tex] units.
Please it’s really important I get an answer fast
Answer:
105 miles per hour
Hope this helps! :)
Pls help me!!! ( pls dont answer if you don’t have the answer I will report you ...).
Look at the picture!
A manufacturer wants to design a container with a volume of 800 cubic centimeters. Their old container is shown
Answer:
2.05 cm
Step-by-step explanation:
3.14× (n+3)²×10 = 800
31.4(n+3)²=800
(n+3)²= 800/31.4
(n+3)²= 25.48
n+3 =√25.48
n+3= 5.05
n = 5.05 -3 = 2.05
so, the radius should be increased :
2.05 cm
Plz help what is the perimeter of the rectangle
Answer:
18 units
Step-by-step explanation:
The base is 7-4 = 3 units
The height is 8 - 2 = 6 units
P = 2(b+h)
P = 2( 3+6)
P = 2(9)
P = 18
Someone please help it’s the last question of my final.
Answer: $46,619
»» 288.44 / 0.7%
»› 41,205
»» 45 x 120.33
»» 5,414
A=41,205
A=5,414
A=46,619
[tex]\color{yellow}{}[/tex]
Answer:
The answer would be $46,619
Step-by-step explanation:
Someone already explained it pretty well, goodluck! :)
You rent an apartment that costs $1700 per month during the first year, but the rent is set to go up 9% per year. What would be the rent of the apartment during the 12th year of living in the apartment? Round to the nearest tenth (if necessary).
Given :
You rent an apartment that costs $1700 per month during the first year, but the rent is set to go up 9% per year.
To Find :
The rent of the apartment during the 12th year of living in the apartment.
Solution :
Let, A is the final price after 12 year and P is the principal amount.
We know, by formula of compounding :
[tex]A = P( 1 + \dfrac{r}{100})^t\\\\A = 1700( 1 + \dfrac{9}{100} )^{12}\\\\A = \$4781.53[/tex]
Therefore, the rent of the apartment during the 12th year of living in the apartment is $4781.53 .
The area of the pathway is square, and its area is 196 square cm. Find the length of the pathway.
Answer:
14 cm
Step-by-step explanation:
Use the formula for the area of a square, a = s², where s is the side length of the square.
Plug in 196 as the area, then solve for s.
a = s²
196 = s²
14 = s
So, the length of the pathway is 14 cm
2 QUESTIONS
You don't need to answer both of them, but please include answer + explanation for at least one of them
Answer:
bh + L(S1 + S2 + h)
Step-by-step explanation:
b stands for the bottom edge of the base triangle
h is the height of the base triangle
L is the length of the prism
S1 and S2 are the two edges of the base triangle
bh is the combined area of the two triangular faces
L(S1 + S2 + h) is the area of the three rectangular side faces
Hey! can someone help me find the value of x please??!
Answer:
I think it´s 2.
Step-by-step explanation:
7(2) = 14
14+5=19
Pretty simple math for me, not sure about you though.
Answer:
x=2
Step-by-step explanation:
since the two angles are equivalent to each other, we also know that the legs of triangle are equal... so we set the legs equal to each other and solve for x...
7x+5=19
subtract five from both sides
7x=14
divide 7 from both sides
x=2
Can i get help on this, Ill give brainliest to best explaination
Answer:
x= -3,-2,-1,0,1,2,3..
What does the transformation f(x) --> -f(x) do to the graph of f(x)
Answer: D) Reflect over x-axis
=======================================================
Explanation:
When we do this type of reflection, a point like (1,2) moves to (1,-2).
As another example, something like (5,-7) moves to (5,7)
The x coordinate stays the same but the y coordinate flips in sign from positive to negative, or vice versa.
We can say that [tex](x,y) \to (x,-y)[/tex] as a general way to represent the transformation. Note how y = f(x), so when we make f(x) negative, then we're really making y negative.
If we apply this transformation to every point on f(x), then it will flip the f(x) curve over the horizontal x axis.
There's an example below in the graph. The point A(2,8) moves to B(2,-8) after applying that reflection rule.